Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Build a standalone module to extract and parse, A skilled programmer is req...

A skilled programmer is required to build a standalone module to extract, parse and store in database tables, word count data from web pages and RSS feeds. The module will take

Primary data type in cpp, What are  P r im a r y D a t a T y p...

What are  P r im a r y D a t a T y p es? Integer can be defined according to the size of the data and it can be modified further by using keyword unsigned and si

Conversion operator, What is conversion operator? Explain it with example.

What is conversion operator? Explain it with example.

Pointers with an array, // Basic pointer code #include "stdafx.h" #in...

// Basic pointer code #include "stdafx.h" #include iostream using namespace std; int _tmain(int argc, _TCHAR* argv[]) {             int FirstNumber, SecondNumber;

Palindrome, string S convert it to a palindrome by doing chara, C/C++ Progr...

string S convert it to a palindrome by doing chara, C/C++ Programming

C program to check display days and months , C program to check display ...

C program to check display days and month main() {           int months, days;           clrscr();           printf("ENTER DAYS: ");           scanf("%d", &days);

Main-elipse -vector-arrays in cpp , Unlike C++, other programming languages...

Unlike C++, other programming languages have associative arrays that allow array indices to be strings instead of just integers. You are to create a template class, SVector, that i

Explain class templates, Class Templates In addition to function  templ...

Class Templates In addition to function  templates, C++  also supports the  method of class templates. By definition, a class template is a class definition that explains a fam

Program that predicts users age, Program: Write a program that predicts...

Program: Write a program that predicts users' age (0-128 years old) with at most 7 questions. The game starts with asking the user whether he/she is younger or older than G (an

Plugging the memory leak, Problem #1: plugging the memory leak. When you em...

Problem #1: plugging the memory leak. When you employ the "normal" new operator, for example Foo* p = new Foo(), the compiler generates some special code to manage the case while t

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd